Find the Sum of the Finite Geometric Sequence $\sum _ { n = 1 } ^ { 7 } 3 \left( \frac { 2 } { 5 } \right) ^ { n - 1 }$

Multiple Choice

Find the sum of the finite geometric sequence. $\sum _ { n = 1 } ^ { 7 } 3 \left( \frac { 2 } { 5 } \right) ^ { n - 1 }$

A) $\frac { 390,369 } { 31,250 }$
B) $\frac { 192 } { 5 }$
C) $25,999$
D) $\frac { 5187 } { 3125 }$
E) $\frac { 77,997 } { 15,625 }$